<h2>Problem 225</h2>
<div style="color:#666;font-size:80%;">26 December 2008</div><br />
<div class="problem_content">
<p>
The sequence 1, 1, 1, 3, 5, 9, 17, 31, 57, 105, 193, 355, 653, 1201 ...<br />
is defined by T<img src="" style="display:none;" alt="_(" /><sub>1</sub><img src="" style="display:none;" alt=")" /> = T<img src="" style="display:none;" alt="_(" /><sub>2</sub><img src="" style="display:none;" alt=")" /> = T<img src="" style="display:none;" alt="_(" /><sub>3</sub><img src="" style="display:none;" alt=")" /> = 1 and T<img src="" style="display:none;" alt="_(" /><sub><var>n</var></sub><img src="" style="display:none;" alt=")" /> = T<img src="" style="display:none;" alt="_(" /><sub><var>n</var>-1</sub><img src="" style="display:none;" alt=")" /> + T<img src="" style="display:none;" alt="_(" /><sub><var>n</var>-2</sub><img src="" style="display:none;" alt=")" /> + T<img src="" style="display:none;" alt="_(" /><sub><var>n</var>-3</sub><img src="" style="display:none;" alt=")" />.
</p>
<p>
It can be shown that 27 does not divide any terms of this sequence.<br />In fact, 27 is the first odd number with this property.</p>
<p>
Find the 124<img src="" style="display:none;" alt="^(" /><sup>th</sup><img src="" style="display:none;" alt=")" /> odd number that does not divide any terms of the above sequence.</p>
</div><br />
